Title
Cross-efficiency evaluation based on ideal and anti-ideal decision making units
Abstract
Cross-efficiency evaluation is an effective approach to ranking decision making units (DMUs) that utilize multiple inputs to produce multiple outputs. Its models can usually be developed in a way that is either aggressive or benevolent to other DMUs, depending upon the decision maker (DM)'s subjective preference to the two extreme cases. This paper proposes several new data envelopment analysis (DEA) models for cross-efficiency evaluation by introducing a virtual ideal DMU (IDMU) and a virtual anti-ideal DMU (ADMU). The new DEA models determine input and output weights from the point of view of distance from IDMU or ADMU without the need to be aggressive or benevolent to any DMUs. As a result, the cross-efficiencies measured by these new DEA models are neutral and more logical. Numerical examples are provided to illustrate the potential applications of these new DEA models and their effectiveness in ranking DMUs.
Year
DOI
Venue
2011
10.1016/j.eswa.2011.02.116
Expert Syst. Appl.
Keywords
Field
DocType
multiple input,virtual ideal dmu,dea,anti-ideal decision,new data,ideal and anti-ideal dmus,decision maker,virtual anti-ideal,new dea model,ranking dmus,ranking decision,distance from ideal or anti-ideal dmu,multiple output,cross-efficiency evaluation,data envelope analysis
Mathematical optimization,Ranking,Cross efficiency,Computer science,Input/output,Data envelopment analysis,Decision maker
Journal
Volume
Issue
ISSN
38
8
Expert Systems With Applications
Citations 
PageRank 
References 
21
0.73
11
Authors
3
Name
Order
Citations
PageRank
Ying-Ming Wang13256166.96
Kwai-Sang Chin2103354.69
Ying Luo346720.48